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Finding the Fourth Proportional to 11,214.39, 16,822.05 and 4,193.70

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Solution

The fourth proportional to 11,214.39, 16,822.05 and 4,193.70 is: 6,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.39 : 16,822.05 = 4,193.70 : x
  2. Step 2: Convert to fraction form
    11,214.39/16,822.05 = 4,193.70/x
  3. Step 3: Cross multiply
    11,214.39x = 16,822.05 × 4,193.70
  4. Step 4: Simplify right side
    11,214.39x = 70,546,631.09
  5. Step 5: Solve for x
    x = 70,546,631.09/11,214.39
  6. Step 6: Final answer
    x = 6,290.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.